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Thread: help with transpose plz

  1. #1
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    help with transpose plz



    how do i get fron u to x, and any good site with transpose of powers.
    Last edited by matlondon; Apr 1st 2010 at 07:06 AM.
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  2. #2
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    Quote Originally Posted by matlondon View Post


    how do i get fron u to x, and any good site with transpose of powers.
    You wrote $\displaystyle u=\left(\frac{2p_2x_2}{p_1}\right)^2\!\!x_2=\left( \frac{2p_2}{p_1}\right)^2\!\!x_2^2x_2=\left(\frac{ 2p_2}{p_1}\right)^2\!\!x_2^3\Longrightarrow u^{1\slash 3}=\left(\frac{2p_2}{p_1}\right)^{2\slash 3}\!\!x_2$ ...and from here isolate $\displaystyle x_2$ and get the result.

    Tonio
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  3. #3
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    Hello, matlondon!

    $\displaystyle U \;=\;\left(\frac{2P_2x_2}{P_1}\right)^2x_2$

    $\displaystyle x_2 \;=\;U^{\frac{1}{3}}\left(\frac{P_1}{2P_2}\right)^ {\frac{2}{3}} $

    How do i get fron $\displaystyle U$ to $\displaystyle x_2$ ?

    We have: . $\displaystyle \left(\frac{2P_1x_2}{P_1}\right)^2x_2 \;=\;U $

    . . . . . $\displaystyle \left(\frac{2P_2}{P_1}\right)^2(x_2)^2 \cdot x_2 \;=\;U$

    . . . . . . . $\displaystyle \left(\frac{2P_2}{P_1}\right)^2(x_2)^3 \;=\;U $

    . . . . . . . . . . . . $\displaystyle (x_2)^3 \;=\;U\left(\frac{P_1}{2P_2}\right)^2 $

    . . . . . . . . . . . . . .$\displaystyle x_2 \;=\;\left[U\left(\frac{P_1}{2P_2}\right)^2\right]^{\frac{1}{3}} $

    . . . . . . . . . . . . . .$\displaystyle x_2 \;=\;U^{\frac{1}{3}}\left(\frac{P_1}{2P_2}\right)^ {\frac{2}{3}} $

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  4. #4
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    yes, but why has he fliped it, p1/ 2p2 or is that a misprint?thx
    Last edited by matlondon; Apr 1st 2010 at 04:10 PM.
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  5. #5
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    Quote Originally Posted by matlondon View Post
    yes, but why has he fliped it, p1/ 2p2 or is that a misprint?thx

    Because that's what has to be done when passing to the other side of an equation something that was multiplying: if $\displaystyle A\neq 0\,\,\,and\,\,\,Ax=Y\,\,\,then\,\,\,x=\frac{Y}{A}$ . If A happens to be a fraction then when it passes to the other side dividing the fraction "flips". It's simply fractions arithmetic.

    Tonio
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  6. #6
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    Thank you all for helping me, i have another question which i shall post up later.
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